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Finding the Fourth Proportional to 768.02, 1,152.08 and 220.24

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Solution

The fourth proportional to 768.02, 1,152.08 and 220.24 is: 330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.02 : 1,152.08 = 220.24 : x
  2. Step 2: Convert to fraction form
    768.02/1,152.08 = 220.24/x
  3. Step 3: Cross multiply
    768.02x = 1,152.08 × 220.24
  4. Step 4: Simplify right side
    768.02x = 253,734.10
  5. Step 5: Solve for x
    x = 253,734.10/768.02
  6. Step 6: Final answer
    x = 330.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.